Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-11
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 4 figures
Scientific paper
10.1143/JPSJ.67.1930
The integrability of the one-dimensional (1D) fermion chain model is investigated in the framework of the Quantum Inverse Scattering Method (QISM). We introduce a new R-operator for the fermion chain model, which is expressed in terms of the fermion operators. The R-operator satisfies a new type of the Yang-Baxter relation with fermionic L-operator. We derive the fermionic Sutherland equation from the relation, which is equivalent to the fermionic Lax equation. It also provides a mathematical foundation of the boost operator approach for the fermion model. In fact, we obtain some higher conserved quantities of the fermion model using the boost operator.
Shiroishi Masahiro
Umeno Yukiko
Wadati Miki
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